7523671680 has 1152 divisors, whose sum is σ = 33739804800. Its totient is φ = 1532805120.

The previous prime is 7523671679. The next prime is 7523671711. The reversal of 7523671680 is 861763257.

7523671680 is a `hidden beast` number, since 7 + 523 + 67 + 1 + 68 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 123338850 + ... + 123338910.

It is an arithmetic number, because the mean of its divisors is an integer number (29288025).

Almost surely, 2^7523671680 is an apocalyptic number.

7523671680 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7523671680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16869902400).

7523671680 is an abundant number, since it is smaller than the sum of its proper divisors (26216133120).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

7523671680 is a wasteful number, since it uses less digits than its factorization.

7523671680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 142 (or 120 counting only the distinct ones).

The product of its (nonzero) digits is 423360, while the sum is 45.

The square root of 7523671680 is about 86739.1012173864. The cubic root of 7523671680 is about 1959.4910243025.

The spelling of 7523671680 in words is "seven billion, five hundred twenty-three million, six hundred seventy-one thousand, six hundred eighty".